A. Iosevich
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引用次数: 18

摘要

. 在这篇理论论文中,我们考虑了场景平面的精确三角化问题。我们不是先对一组点进行三角测量,然后再对这些点进行平面拟合,而是试图直接最小化作为平面参数函数的反向投影误差。由于这在几何上和统计上都有意义,我们的方法比标准的两步程序执行得更好。此外,我们证明了该公式的误差残差是拟凸的,从而使它很容易用标准的局部优化方法求解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Pläne
. In this theoretical paper we consider the problem of accurately triangulating a scene plane. Rather than first triangulating a set of points and then fitting a plane to these points, we try to minimize the back-projection errors as functions of the plane parameters directly. As this is both geometrically and statistically meaningful our method performs better than the standard two step procedure. Furthermore, we show that the error residuals of this formulation are quasiconvex thereby making it very easy to solve using for example standard local optimization methods.
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